Least Common Multiple of 549/49, 671/7891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 549/49, 671/7891 quickly i.e. 6039 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 549/49, 671/7891 is 6039.

LCM(549/49, 671/7891) = 6039

LCM of 549/49, 671/7891

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 549/49,671/7891

Given numbers are 549/49,671/7891

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 549,671

Least Common Multiple of Numerators i.e. LCM of 549,671 is 6039.

GCF of Denominators means GCF of 49,7891 as per the given fractions.

GCF of 49,7891 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 549,671

LCM of Fractions 549/49,671/7891 is 6039

61 549, 671
9, 11

∴ So the LCM of the given numbers is 61 x 9 x 11 = 6039

Least Common Multiple of 549,671 with GCF Formula

Least Common Multiple of 549,671 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 549,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(549,671) = 61

common factors(in case of two or more numbers have common factors) = 1

GCF(549,671) x common factors =61 x 1 = 61

LCM(549,671) = ( 549 × 671 ) / 61

LCM(549,671) = 368379 / 61

LCM(549,671) = 6039


Lets's calculate GCF of 49,7891

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6039/1

Therefore the LCM of Fractions 549/49,671/7891 is 6039

Greatest Common Factor of 49,7891 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,7891 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 7891

List of positive integer factors of 7891 that divides 7891 without a remainder.

1,13,607,7891

Greatest Common Factor

We found the factors 49,7891 . The biggest common factor number is the GCF number.
So the greatest common factor 49,7891 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 549/49, 671/7891

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 549/49, 671/7891?

Answer: LCM of Numerators as per given numbers 549/49, 671/7891 is

LCM of Numerators i.e. for 549,671 is 6039

GCF of denominators i.e. for 49,7891 is 1.

Thus, LCM of Fractions is 6039.Finally, LCM of Fractions for 549/49, 671/7891 is 6039.